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a b s t r a c tIn this paper, it is shown that, for every v ≡ 0(mod 12), there exists a uniformly resolvable decomposition of K v -I, the complete undirected graph minus a 1-factor, into r classes containing only copies of 2-stars and s classes containing only copies of kites if and onlyIt is also shown that a uniformly resolvable decomposition of K v into r classes containing only copies of 2-stars and s classes containing only copies of kites exists if and only if v ≡ 9(mod 12) and s = 0.